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Finding the Fourth Proportional to 2,698.96, 4,047.33 and 1,055.27

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Solution

The fourth proportional to 2,698.96, 4,047.33 and 1,055.27 is: 1,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.96 : 4,047.33 = 1,055.27 : x
  2. Step 2: Convert to fraction form
    2,698.96/4,047.33 = 1,055.27/x
  3. Step 3: Cross multiply
    2,698.96x = 4,047.33 × 1,055.27
  4. Step 4: Simplify right side
    2,698.96x = 4,271,025.93
  5. Step 5: Solve for x
    x = 4,271,025.93/2,698.96
  6. Step 6: Final answer
    x = 1,582.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.